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Simplifying 4(3a + -5) = 2(3a + 8) Reorder the terms: 4(-5 + 3a) = 2(3a + 8) (-5 * 4 + 3a * 4) = 2(3a + 8) (-20 + 12a) = 2(3a + 8) Reorder the terms: -20 + 12a = 2(8 + 3a) -20 + 12a = (8 * 2 + 3a * 2) -20 + 12a = (16 + 6a) Solving -20 + 12a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -20 + 12a + -6a = 16 + 6a + -6a Combine like terms: 12a + -6a = 6a -20 + 6a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -20 + 6a = 16 + 0 -20 + 6a = 16 Add '20' to each side of the equation. -20 + 20 + 6a = 16 + 20 Combine like terms: -20 + 20 = 0 0 + 6a = 16 + 20 6a = 16 + 20 Combine like terms: 16 + 20 = 36 6a = 36 Divide each side by '6'. a = 6 Simplifying a = 6
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